Calculus Examples

$4 (2) - \frac{1}{3} \cdot {(2)}^{3}$

Step 1

Simplify each term.

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Step 1.1

Multiply $4$ by $2$ .

$8 - \frac{1}{3} \cdot {(2)}^{3}$

Step 1.2

Raise $2$ to the power of $3$ .

$8 - \frac{1}{3} \cdot 8$

Step 1.3

Multiply $- \frac{1}{3} \cdot 8$ .

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Step 1.3.1

Multiply $8$ by $- 1$ .

$8 - 8 (\frac{1}{3})$

Step 1.3.2

Combine $- 8$ and $\frac{1}{3}$ .

$8 + \frac{- 8}{3}$

Step 1.4

Move the negative in front of the fraction.

$8 - \frac{8}{3}$

Step 2

To write $8$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$8 \cdot \frac{3}{3} - \frac{8}{3}$

Step 3

Combine $8$ and $\frac{3}{3}$ .

$\frac{8 \cdot 3}{3} - \frac{8}{3}$

Step 4

Combine the numerators over the common denominator.

$\frac{8 \cdot 3 - 8}{3}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $8$ by $3$ .

$\frac{24 - 8}{3}$

Step 5.2

Subtract $8$ from $24$ .

$\frac{16}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{16}{3}$

Decimal Form:

$5.\overline{3}$

Mixed Number Form:

$5 \frac{1}{3}$